The Hamilton-Jacobi equation of minimal time control

被引：0
|
作者：
Clarke, FH [1 ]
Nour, C [1 ]
机构：
[1] Univ Lyon 1, Inst Girard Desaruges, F-69622 Villeurbanne, France
来源：
JOURNAL OF CONVEX ANALYSIS | 2004年 / 11卷 / 02期
关键词：
minimal time function; viscosity solutions; geodesic trajectories; proximal analysis; monotonicity of trajectories; nonsmooth analysis;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the solutions of the Hamilton-Jacobi equation that arise in connection with minimal time control, in a new global framework. These solutions, for which we establish existence using the minimal time function as a function of two variables, turn out to be closely related to time-geodesic trajectories.
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页码：413 / 436
页数：24
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